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Popular >

extreme x^4+8x^3

Solution

extreme points

x^{4} + 8 x^{3}

Solution

Minimum (- 6, - 432), Saddle (0, 0)

Solution steps

f^{'} (x) = 4 x^{3} + 24 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 6,

Increasing

: - 6 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 6

into

x^{4} + 8 x^{3} : - 432

Minimum (- 6, - 432)

Plug

x = 0

into

x^{4} + 8 x^{3} : 0

Saddle (0, 0)

Minimum (- 6, - 432), Saddle (0, 0)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x^4+8x^3 ?
The extreme x^4+8x^3 is Minimum(-6,-432),Saddle(0,0)